4082686608 has 320 divisors, whose sum is σ = 14623064064. Its totient is φ = 946944000.

The previous prime is 4082686603. The next prime is 4082686609. The reversal of 4082686608 is 8066862804.

It is a happy number.

4082686608 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (4082686603) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1488118 + ... + 1490858.

Almost surely, 2^4082686608 is an apocalyptic number.

4082686608 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4082686608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7311532032).

4082686608 is an abundant number, since it is smaller than the sum of its proper divisors (10540377456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4082686608 is a wasteful number, since it uses less digits than its factorization.

4082686608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2814 (or 2808 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The square root of 4082686608 is about 63895.9044696920. The cubic root of 4082686608 is about 1598.2646038473.

The spelling of 4082686608 in words is "four billion, eighty-two million, six hundred eighty-six thousand, six hundred eight".